Finding the Fourth Proportional to 1,497.50, 2,066.61 and 834.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,497.50 : 2,066.61 = 834.35 : x
2. Step 2: Convert to fraction form
   1,497.50/2,066.61 = 834.35/x
3. Step 3: Cross multiply
   1,497.50x = 2,066.61 × 834.35
4. Step 4: Simplify right side
   1,497.50x = 1,724,262.59
5. Step 5: Solve for x
   x = 1,724,262.59/1,497.50
6. Step 6: Final answer
   x = 1,151.43